Compactifications of the ray with the arc as remainder admit no 𝑛-mean
Copyright policy ) David W. Henderson; M. M. Awartani;
Compactifications of the ray with the arc as remainder admit no 𝑛-mean
An n-mean on X is a function F : X n → X F:{X^n} \to X which is idempotent and symmetric. In 1970 P. Bacon proved that the sin ( 1 / x ) \sin (1/x) continuum admits no 2-mean. In this paper, it is proved that if X is any metric space which contains an open line one of whose boundary components in X is an arc, then X admits no n-mean, n ≥ 2 n \geq 2 .
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Continua and generalizations, Remainders in general topology, \(n\)-mean, arcs as remainders
Continua and generalizations, Remainders in general topology, \(n\)-mean, arcs as remainders
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citations
Citations provided by BIP!
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 1
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